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Finding the Third Proportional to 134,033.25 and 288,660

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Solution

The third proportional to 134,033.25 and 288,660 is: 621,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,033.25 : 288,660 = 288,660 : x
  2. Step 2: Convert to fraction form
    134,033.25/288,660 = 288,660/x
  3. Step 3: Cross multiply
    134,033.25x = 288,660 × 288,660
  4. Step 4: Simplify right side
    134,033.25x = 83,324,595,600
  5. Step 5: Solve for x
    x = 83,324,595,600/134,033.25
  6. Step 6: Final answer
    x = 621,671.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.